Results 31 to 40 of about 282 (92)
On the proximal point algorithm and demimetric mappings in CAT(0) spaces
Demonstratio Mathematica, 2018 In this paper, we introduce and study the class of demimetric mappings in CAT(0) spaces.We then propose a modified proximal point algorithm for approximating a common solution of a finite family of minimization problems and fixed point problems in CAT(0)
Aremu Kazeem O. +3 more
doaj +1 more source
A nonlocal 1-Laplacian problem and median values [PDF]
, 2016 In this paper, we study solutions to a nonlocal 1-Laplacian equation. We introduce two notions of solution and prove that the weaker of the two concepts is equivalent to a nonlocal median value property, where the median is determined by a measure ...
Mazón, José M. +3 more
core +1 more source
Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 10, Page 611-617, 2002., 2002 Suppose that X is an arbitrary real Banach space and T : X → X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.
Zeqing Liu, Lili Zhang, Shin Min Kang
wiley +1 more source
, 2013 In ordered Banach spaces, characterizations of ordered (αA,λ)-weak-ANODD set-valued mappings are introduced and studied, which is applied to giving an approximate solution for a new class of general nonlinear mixed-order quasi-variational inclusions ...
Hong Gang Li, D. Qiu, Yangyang Zou
semanticscholar +1 more source
Annales Mathematicae Silesianae, 2019 In this article, we establish some non-unique fixed point theorems of Ćirić’s type for (Φ, ψ)–hybrid contractive mappings by using a similar notion to that of the paper [M. Akram, A.A. Zafar and A.A.
Olatinwo Memudu O.
doaj +1 more source
Bounded solutions of nonlinear Cauchy problems
Abstract and Applied Analysis, Volume 7, Issue 12, Page 637-661, 2002., 2002 For a given closed and translation invariant subspace Y of the bounded and uniformly continuous functions, we will give criteria for the existence of solutions u ∈ Y to the equation u′(t) + A(u(t)) + ωu(t)∍f(t), t ∈ ℝ, or of solutions u asymptotically close to Y for the inhomogeneous differential equation u′(t) + A(u(t)) + ωu(t)∍f(t), t > 0, u(0) = u0,
Josef Kreulich
wiley +1 more source
Solving GNOVI frameworks involving (γG,λ)-weak-GRD set-valued mappings in positive Hilbert spaces
, 2014 First, a new concept, positive Hilbert spaces, is introduced and some fundamental inequalities which are applied to studying the properties of the resolvent operator associated for (γG,λ)-weak-GRD set-valued mappings are introduced and discussed in ...
Hong Gang Li +3 more
semanticscholar +1 more source
Demonstratio Mathematica, 2018 In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj +1 more source
Iterative solutions of K‐positive definite operator equations in real uniformly smooth Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 3, Page 155-160, 2001., 2001 Let X be a real uniformly smooth Banach space and let T : D(T)⫅X → X be a K‐positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx = f, f ∈ X.
Zeqing Liu +2 more
wiley +1 more source
, 2014 In this paper, we study and give examples for classes of generalized contractive mappings. We establish some new strong convergence theorems of feasible iterative algorithms for the split common solution problem (SCSP) and give some applications of these
Zhenhua He, Wei-Shih Du
semanticscholar +1 more source